What is the Least Common Multiple of 98020 and 98025?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 98020 and 98025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98020 and 98025, than apply into the LCM equation.

GCF(98020,98025) = 5
LCM(98020,98025) = ( 98020 × 98025) / 5
LCM(98020,98025) = 9608410500 / 5
LCM(98020,98025) = 1921682100

Least Common Multiple (LCM) of 98020 and 98025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98020 and 98025. First we will calculate the prime factors of 98020 and 98025.

Prime Factorization of 98020

Prime Factorization of 98025

Now multiplying the highest exponent prime factors to calculate the LCM of 98020 and 98025.

LCM(98020,98025) = 2² × 5² × 13² × 29¹ × 3¹ × 1307¹
LCM(98020,98025) = 1921682100